Role of data uncertainties in identifying the logarithmic region of turbulent boundary layers

Role of data uncertainties in identifying the logarithmic region of turbulent boundary layers Composite expansions based on the log-law and the power-law were used to generate synthetic velocity profiles of zero pressure gradient turbulent boundary layers (TBLs) in the range of Reynolds number $$800 \le Re_{\theta } \le 860{,}000,$$ 800 ≤ R e θ ≤ 860 , 000 , based on displacement thickness and freestream velocity. Several artificial errors were added to the velocity profiles to simulate typical measurement uncertainties. The effects of the simulated errors were studied by extracting log-law and power-law parameters from all these pseudo-experimental profiles. Various techniques were used to establish a measure of the deviations in the overlap region. When parameters extracted for the log-law and the power-law are associated with similar levels of deviations with respect to their expected values, we consider that the profile leads to ambiguous conclusions. This ambiguity was observed up to $$Re_{\theta }=16{,}000$$ R e θ = 16 , 000 for a 4 % dispersion in the velocity measurements, up to $$Re_{\theta }=8.6 \times 10^{5}$$ R e θ = 8.6 × 10 5 for a 400 $$\upmu$$ μ m uncertainty in probe position (in air flow at atmospheric pressure), and up to $$Re_{\theta }=32{,}000$$ R e θ = 32 , 000 for 3 % uncertainty in the determination of $$u_{\tau }.$$ u τ . In addition, a new method for the determination of the log-law limits is proposed. The results clearly serve as a further note for caution when identifying either a log or a power-law in TBLs. Together with a number of available studies in the literature, the present results can be seen as a additional reconfirmation of the log-law. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Experiments in Fluids Springer Journals

Role of data uncertainties in identifying the logarithmic region of turbulent boundary layers

, Volume 55 (6) – May 29, 2014
13 pages

/lp/springer_journal/role-of-data-uncertainties-in-identifying-the-logarithmic-region-of-PaTl3o0d7m
Publisher
Springer Berlin Heidelberg
Subject
Engineering; Engineering Fluid Dynamics; Fluid- and Aerodynamics; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0723-4864
eISSN
1432-1114
D.O.I.
10.1007/s00348-014-1751-3
Publisher site
See Article on Publisher Site

Abstract

Composite expansions based on the log-law and the power-law were used to generate synthetic velocity profiles of zero pressure gradient turbulent boundary layers (TBLs) in the range of Reynolds number $$800 \le Re_{\theta } \le 860{,}000,$$ 800 ≤ R e θ ≤ 860 , 000 , based on displacement thickness and freestream velocity. Several artificial errors were added to the velocity profiles to simulate typical measurement uncertainties. The effects of the simulated errors were studied by extracting log-law and power-law parameters from all these pseudo-experimental profiles. Various techniques were used to establish a measure of the deviations in the overlap region. When parameters extracted for the log-law and the power-law are associated with similar levels of deviations with respect to their expected values, we consider that the profile leads to ambiguous conclusions. This ambiguity was observed up to $$Re_{\theta }=16{,}000$$ R e θ = 16 , 000 for a 4 % dispersion in the velocity measurements, up to $$Re_{\theta }=8.6 \times 10^{5}$$ R e θ = 8.6 × 10 5 for a 400 $$\upmu$$ μ m uncertainty in probe position (in air flow at atmospheric pressure), and up to $$Re_{\theta }=32{,}000$$ R e θ = 32 , 000 for 3 % uncertainty in the determination of $$u_{\tau }.$$ u τ . In addition, a new method for the determination of the log-law limits is proposed. The results clearly serve as a further note for caution when identifying either a log or a power-law in TBLs. Together with a number of available studies in the literature, the present results can be seen as a additional reconfirmation of the log-law.

Journal

Experiments in FluidsSpringer Journals

Published: May 29, 2014

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